SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS.

Research output: Chapter in Book/Report/Conference proceedingChapter

28 Citations (Scopus)

Abstract

A GALERKIN-TYPE FINITE ELEMENT METHOD IS EMPLOYED TO SOLVE THE QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS OF TRANSIENT SEEPAGE IN SATURATED-UNSATURATED POROUS MEDIA.THE RESULTING COMPUTER PROGRAM IS CAPABLE OF HANDLING NONUNIFORM FLOW REGIONS HAVING COMPLEX BOUNDARIES AND ARBITRARY DEGREES OF LOCAL ANISOTROPY.FLOW CAN TAKE PLACE IN A VERTICAL PLANE, IN A HORIZONTAL PLANE, OR IN A THREE-DIMENSIONAL SYSTEM WITH RADIAL SYMMETRY.AN ARBITRARY NUMBER OF SEEPAGE FACES CAN BE CONSIDERED SIMULTANEOUSLY, AND THE POSITIONS OF THE EXIT POINTS ON THESE BOUNDARIES ARE ADJUSTED AUTOMATICALLY DURING EACH TIME STEP.TWO EXAMPLES, ONE OF SEEPAGE THROUGH AN EARTH DAM WITH A SLOPING CORE AND HORIZONTAL DRAINAGE BLANKET, AND THE OTHER OF SEEPAGE THROUGH A LAYERED MEDIUM CUT BY A COMPLEX TOPOGRAPHY, ARE INCLUDED.THESE EXAMPLES INDICATE THAT THE CLASSICAL CONCEPT OF A FREE SURFACE IS NOT ALWAYS APPLICABLE WHEN DEALING WITH TRANSIENT SEEPAGE THROUGH SOILS.(A)

Original languageEnglish (US)
Title of host publicationJ. HYDRAUL. DIV., PROC., ASCE.
Volume99
EditionHY12
StatePublished - 1973
Externally publishedYes

Fingerprint

Seepage
Embankment dams
Topography
Drainage
Partial differential equations
Porous materials
Computer program listings
Anisotropy
Soils
Finite element method

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Neuman, S. P. (1973). SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS. In J. HYDRAUL. DIV., PROC., ASCE. (HY12 ed., Vol. 99)

SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS. / Neuman, Shlomo P.

J. HYDRAUL. DIV., PROC., ASCE.. Vol. 99 HY12. ed. 1973.

Research output: Chapter in Book/Report/Conference proceedingChapter

Neuman, SP 1973, SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS. in J. HYDRAUL. DIV., PROC., ASCE.. HY12 edn, vol. 99.
Neuman SP. SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS. In J. HYDRAUL. DIV., PROC., ASCE.. HY12 ed. Vol. 99. 1973
Neuman, Shlomo P. / SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS. J. HYDRAUL. DIV., PROC., ASCE.. Vol. 99 HY12. ed. 1973.
@inbook{85322fcb40934d1391aa59a9763344fe,
title = "SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS.",
abstract = "A GALERKIN-TYPE FINITE ELEMENT METHOD IS EMPLOYED TO SOLVE THE QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS OF TRANSIENT SEEPAGE IN SATURATED-UNSATURATED POROUS MEDIA.THE RESULTING COMPUTER PROGRAM IS CAPABLE OF HANDLING NONUNIFORM FLOW REGIONS HAVING COMPLEX BOUNDARIES AND ARBITRARY DEGREES OF LOCAL ANISOTROPY.FLOW CAN TAKE PLACE IN A VERTICAL PLANE, IN A HORIZONTAL PLANE, OR IN A THREE-DIMENSIONAL SYSTEM WITH RADIAL SYMMETRY.AN ARBITRARY NUMBER OF SEEPAGE FACES CAN BE CONSIDERED SIMULTANEOUSLY, AND THE POSITIONS OF THE EXIT POINTS ON THESE BOUNDARIES ARE ADJUSTED AUTOMATICALLY DURING EACH TIME STEP.TWO EXAMPLES, ONE OF SEEPAGE THROUGH AN EARTH DAM WITH A SLOPING CORE AND HORIZONTAL DRAINAGE BLANKET, AND THE OTHER OF SEEPAGE THROUGH A LAYERED MEDIUM CUT BY A COMPLEX TOPOGRAPHY, ARE INCLUDED.THESE EXAMPLES INDICATE THAT THE CLASSICAL CONCEPT OF A FREE SURFACE IS NOT ALWAYS APPLICABLE WHEN DEALING WITH TRANSIENT SEEPAGE THROUGH SOILS.(A)",
author = "Neuman, {Shlomo P}",
year = "1973",
language = "English (US)",
volume = "99",
booktitle = "J. HYDRAUL. DIV., PROC., ASCE.",
edition = "HY12",

}

TY - CHAP

T1 - SATURATED - UNSATURATED SEEPAGE BY FINITE ELEMENTS.

AU - Neuman, Shlomo P

PY - 1973

Y1 - 1973

N2 - A GALERKIN-TYPE FINITE ELEMENT METHOD IS EMPLOYED TO SOLVE THE QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS OF TRANSIENT SEEPAGE IN SATURATED-UNSATURATED POROUS MEDIA.THE RESULTING COMPUTER PROGRAM IS CAPABLE OF HANDLING NONUNIFORM FLOW REGIONS HAVING COMPLEX BOUNDARIES AND ARBITRARY DEGREES OF LOCAL ANISOTROPY.FLOW CAN TAKE PLACE IN A VERTICAL PLANE, IN A HORIZONTAL PLANE, OR IN A THREE-DIMENSIONAL SYSTEM WITH RADIAL SYMMETRY.AN ARBITRARY NUMBER OF SEEPAGE FACES CAN BE CONSIDERED SIMULTANEOUSLY, AND THE POSITIONS OF THE EXIT POINTS ON THESE BOUNDARIES ARE ADJUSTED AUTOMATICALLY DURING EACH TIME STEP.TWO EXAMPLES, ONE OF SEEPAGE THROUGH AN EARTH DAM WITH A SLOPING CORE AND HORIZONTAL DRAINAGE BLANKET, AND THE OTHER OF SEEPAGE THROUGH A LAYERED MEDIUM CUT BY A COMPLEX TOPOGRAPHY, ARE INCLUDED.THESE EXAMPLES INDICATE THAT THE CLASSICAL CONCEPT OF A FREE SURFACE IS NOT ALWAYS APPLICABLE WHEN DEALING WITH TRANSIENT SEEPAGE THROUGH SOILS.(A)

AB - A GALERKIN-TYPE FINITE ELEMENT METHOD IS EMPLOYED TO SOLVE THE QUASILINEAR PARTIAL DIFFERENTIAL EQUATIONS OF TRANSIENT SEEPAGE IN SATURATED-UNSATURATED POROUS MEDIA.THE RESULTING COMPUTER PROGRAM IS CAPABLE OF HANDLING NONUNIFORM FLOW REGIONS HAVING COMPLEX BOUNDARIES AND ARBITRARY DEGREES OF LOCAL ANISOTROPY.FLOW CAN TAKE PLACE IN A VERTICAL PLANE, IN A HORIZONTAL PLANE, OR IN A THREE-DIMENSIONAL SYSTEM WITH RADIAL SYMMETRY.AN ARBITRARY NUMBER OF SEEPAGE FACES CAN BE CONSIDERED SIMULTANEOUSLY, AND THE POSITIONS OF THE EXIT POINTS ON THESE BOUNDARIES ARE ADJUSTED AUTOMATICALLY DURING EACH TIME STEP.TWO EXAMPLES, ONE OF SEEPAGE THROUGH AN EARTH DAM WITH A SLOPING CORE AND HORIZONTAL DRAINAGE BLANKET, AND THE OTHER OF SEEPAGE THROUGH A LAYERED MEDIUM CUT BY A COMPLEX TOPOGRAPHY, ARE INCLUDED.THESE EXAMPLES INDICATE THAT THE CLASSICAL CONCEPT OF A FREE SURFACE IS NOT ALWAYS APPLICABLE WHEN DEALING WITH TRANSIENT SEEPAGE THROUGH SOILS.(A)

UR - http://www.scopus.com/inward/record.url?scp=0015555156&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0015555156&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0015555156

VL - 99

BT - J. HYDRAUL. DIV., PROC., ASCE.

ER -